Search a number
-
+
120484260117 = 321310191010579
BaseRepresentation
bin111000000110101101…
…0111110100100010101
3102111222202101120111100
41300031122332210111
53433222432310432
6131203311500313
711463466212324
oct1601532764425
9374882346440
10120484260117
11471082509a1
121b425b27699
13b49161b110
145b8d7a20bb
15320276007c
hex1c0d6be915

120484260117 has 24 divisors (see below), whose sum is σ = 187604071200. Its totient is φ = 74071325088.

The previous prime is 120484260109. The next prime is 120484260121. The reversal of 120484260117 is 711062484021.

It is a happy number.

120484260117 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 8 + 42 + 601 + 1 + 7 = 666.

It is not a de Polignac number, because 120484260117 - 23 = 120484260109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120484260107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386067 + ... + 624512.

It is an arithmetic number, because the mean of its divisors is an integer number (7816836300).

Almost surely, 2120484260117 is an apocalyptic number.

It is an amenable number.

120484260117 is a deficient number, since it is larger than the sum of its proper divisors (67119811083).

120484260117 is a wasteful number, since it uses less digits than its factorization.

120484260117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011617 (or 1011614 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 120484260117 in words is "one hundred twenty billion, four hundred eighty-four million, two hundred sixty thousand, one hundred seventeen".

Divisors: 1 3 9 13 39 117 1019 3057 9171 13247 39741 119223 1010579 3031737 9095211 13137527 39412581 118237743 1029780001 3089340003 9268020009 13387140013 40161420039 120484260117